Hello there! We are given the following equation and want to solve for f(f(x))
[tex]f(x)=x^2+1[/tex]
f(f(x)) will be replacing the "x" in f(x) with the entire equation of f(x), it sounds a bit complicated, but this is what it will look like:
[tex]f(f(x))=(x^2+1)^2+1[/tex]
Using FOIL or the formula for squaring a binomial gives us:
[tex]=(x^4+2x^2+1)+1[/tex]
Open parenthesis and simplify
[tex]= x^4+2x^2+2[/tex]
This should be your answer. Let me know if you need any clarifications, thanks!
~ Padoru
